What is the Greatest Common Factor of 76640 and 76652?

Greatest common factor (GCF) of 76640 and 76652 is 4.

GCF(76640,76652) = 4

We will now calculate the prime factors of 76640 and 76652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76640 and 76652.

How to find the GCF of 76640 and 76652?

We will first find the prime factorization of 76640 and 76652. After we will calculate the factors of 76640 and 76652 and find the biggest common factor number .

Step-1: Prime Factorization of 76640

Prime factors of 76640 are 2, 5, 479. Prime factorization of 76640 in exponential form is:

76640 = 2⁵ × 5¹ × 479¹

Step-2: Prime Factorization of 76652

Prime factors of 76652 are 2, 19163. Prime factorization of 76652 in exponential form is:

76652 = 2² × 19163¹

Step-3: Factors of 76640

List of positive integer factors of 76640 that divides 76640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 479, 958, 1916, 2395, 3832, 4790, 7664, 9580, 15328, 19160, 38320

Step-4: Factors of 76652

List of positive integer factors of 76652 that divides 76640 without a remainder.

1, 2, 4, 19163, 38326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76640 and 76652. The biggest common factor number is the GCF number.
So the greatest common factor 76640 and 76652 is 4.

Also check out the Least Common Multiple of 76640 and 76652